Question

Efectuati$\frac{2*m+3}{6*p+4} : \frac{4*m+6}{9*p+6} +\frac{3*n+3}{8*q+20} \frac{2*q+1}{3*(n+1)}$
VA ROG DAU COROANA

Answer 1

(2m+3)/(6p+4) : (4m+6)/(9p+6)+(3n+3)/(8q+20) ×(2q+1)/3(n+1)=
=(2m+3)/2(3p+2) × 3(3p+2)/2(2m+3)+3(n+1)/(8q+20) ×(2q+1)/3(n+1)=
=1/2 × 3/2+1/(8q+20) ×(2q+1)/1=
=3/4+(2q+1)/4(2q+5)=
=[3(2q+5)+2q+1]/4(2q+5)=
=(6q+15+2q+1)/4(2q+5)=
=(8q+16)/4(2q+5)=
=(8q+16)/4(2q+5)=
=4(2q+4)/4(2q+5)=
=(2q+4)/(2q+5)